The Measure Concentration of Convex Geometry in a Quasi Banach Spacetime behind the Supposedly Missing Dark Energy of the Cosmos

TLDR: In this article, the authors gave a new confirmation of the derivation of the 95.5 per cent so-called dark energy density of the cosmos based on the Banach spaces motivated theory of convex geometry in high dimensionality.

Abstract: Based on the Banach spaces motivated theory of convex geometry in high dimensionality we give a new confirmation of the derivation of the 95.5 per cent so called dark energy density of the cosmos. The result derives directly from the purely geometric-topological phenomenon of measure-mass concentration and gives an unqualified complete confirmation of our previous results including the hidden quantum nature of Einstein’s celebrated equation E = mc2. Thus the quantum dissection into ordinary energy of the quantum particle E(O) = mc2/22 and dark energy of the quantum wave E(D) = mc2(21/22) were validated by first a purely mathematical theorem of convex geometry and second by conservation of energy leading to E(O) + E(D) = mc2 as in Einstein’s special theory of relativity.